10519947872000 has 288 divisors, whose sum is σ = 30017283004800. Its totient is φ = 3598771814400.

The previous prime is 10519947871967. The next prime is 10519947872047. The reversal of 10519947872000 is 27874991501.

It is a super-2 number, since 2×10519947872000² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 100523702 + ... + 100628298.

It is an arithmetic number, because the mean of its divisors is an integer number (104226677100).

Almost surely, 2^{10519947872000} is an apocalyptic number.

10519947872000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10519947872000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15008641502400).

10519947872000 is an abundant number, since it is smaller than the sum of its proper divisors (19497335132800).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10519947872000 is an equidigital number, since it uses as much as digits as its factorization.

10519947872000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105084 (or 105060 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 53.

The spelling of 10519947872000 in words is "ten trillion, five hundred nineteen billion, nine hundred forty-seven million, eight hundred seventy-two thousand".